Question

What is the period of `f(t)=sin( (t)/2 )+ cos( (2t)/5 )`?

Answer 1

`20pi`

Explanation:

Period of `sin (t/2)` --> `2(2pi) = 4pi`
Period of cos `((2t)/5)` --> `5(2pi)/2 = (10pi)/2 = 5pi`
Period of f(t) --> least common multiple of `4pi` and `5pi` -->
`20pi`